Chiral phase transitions around black holes

In this paper we discuss the possibility that chiral phase transitions, analogous to those of QCD, occur in the vicinity of a black hole. If the black hole is surrounded by a gas of strongly interacting particles, an inhomogeneous condensate will form. We demonstrate this by explicitly constructing self-consistent solutions for the condensate. We discuss the relevance of our results in relation to the possibility of chromosphere formation. We argue that this is not expected, rather the configuration will be similar to the shock produced by stellar wind.